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Finding the Third Proportional to 12.97 and 18.44

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Solution

The third proportional to 12.97 and 18.44 is: 26.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.97 : 18.44 = 18.44 : x
  2. Step 2: Convert to fraction form
    12.97/18.44 = 18.44/x
  3. Step 3: Cross multiply
    12.97x = 18.44 × 18.44
  4. Step 4: Simplify right side
    12.97x = 339.94
  5. Step 5: Solve for x
    x = 339.94/12.97
  6. Step 6: Final answer
    x = 26.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.